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Finding the Fourth Proportional to 2,950.92, 4,072.38 and 1,624.77

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Solution

The fourth proportional to 2,950.92, 4,072.38 and 1,624.77 is: 2,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.92 : 4,072.38 = 1,624.77 : x
  2. Step 2: Convert to fraction form
    2,950.92/4,072.38 = 1,624.77/x
  3. Step 3: Cross multiply
    2,950.92x = 4,072.38 × 1,624.77
  4. Step 4: Simplify right side
    2,950.92x = 6,616,680.85
  5. Step 5: Solve for x
    x = 6,616,680.85/2,950.92
  6. Step 6: Final answer
    x = 2,242.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.